A196251 Leading terms of successive absolute differences of the partition numbers (A000041).

1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 67, 67

Offset: 0

Author

Vladimir Reshetnikov, Oct 27 2011

Keywords

• nonn
• look

Links

• Pontus von Brömssen, Table of n, a(n) for n = 0..10000
• Pontus von Brömssen, Scatterplot of n, a(n) for n = 0..100000.
• Wikipedia, Gilbreath's_conjecture
• Index entries for sequences related to Gilbreath conjecture and transform.

Crossrefs

Gilbreath transform of A000041.

Cf. A036262, A362451.

Programs

Mathematica

First /@ NestList[Abs[Differences[#]] &, PartitionsP /@ Range[0, 125], 125]